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200200210110020 = 22537424163791753
BaseRepresentation
bin101101100001010010111110…
…011010000101011001000100
3222020211221201212021102211102
4231201102332122011121010
5202220040012242010040
61545442412402555232
760111662560214261
oct5541227632053104
9866757655242742
10200200210110020
115887648344229a
121a554185368b18
138792a4cc94cc3
143761a5599a268
151822a00bb8515
hexb614be685644

200200210110020 has 48 divisors (see below), whose sum is σ = 431884974266928. Its totient is φ = 77897384202240.

The previous prime is 200200210110007. The next prime is 200200210110191. The reversal of 200200210110020 is 20011012002002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33843818191936 + 166356391918084 = 5817544^2 + 12897922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200200210109983 and 200200210110010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28757537 + ... + 35034216.

It is an arithmetic number, because the mean of its divisors is an integer number (8997603630561).

Almost surely, 2200200210110020 is an apocalyptic number.

200200210110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200210110020 is an abundant number, since it is smaller than the sum of its proper divisors (231684764156908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200200210110020 is a wasteful number, since it uses less digits than its factorization.

200200210110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63796040 (or 63796038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200200210110020 its reverse (20011012002002), we get a palindrome (220211222112022).

The spelling of 200200210110020 in words is "two hundred trillion, two hundred billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 4241 8482 16964 21205 42410 84820 156917 313834 627668 784585 1569170 3138340 63791753 127583506 255167012 318958765 637917530 1275835060 2360294861 4720589722 9441179444 11801474305 23602948610 47205897220 270540824473 541081648946 1082163297892 1352704122365 2705408244730 5410816489460 10010010505501 20020021011002 40040042022004 50050052527505 100100105055010 200200210110020